How do you solve the inequality $2(4-n) < 3n$ ?

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Answer 1 · 2015-12-16T22:48:05

$8/5 < n$

To solve inequalities, solve like you would an equation.

Original equation:
$2(4-n) < 3n$

Distribute the $2$ :
$8-2n < 3n$

Add $2n$ to both sides:
$8 < (3n+2n)$
$8 < 5n$

Divide to get $n$ by itself:
$8/5 < n$

Final Answer:
$8/5 < n$

How do you solve the inequality 2(4-n) < 3n2(4-n) < 3n?